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Cullender-smithoriginal

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2 10000 pies Pwh 4000 psi sg 0.6 T promedio 70 530 F R a b c Pwh Pr Zwh 0 1 4000.000 5.948 0.8558 2 4500.000 6.691 0.9506 3 4466.421 6.642 0.9482 4 4465.187 6.640 0.9481 5 4501.830 6.694 0.9898 6 4478.348 6.659 0.9797 7 4483.823 6.667 0.9795 8 4483.970 6.668 0.9495 9 4501.049 6.693 0.9507 10 4500.338 6.692 0.9506 11 4500.368 6.692 0.9506 Culler smith Primero 0.11340 Segundo Tms 145 605 …………………… Pms 4500 Pr 6.691 Tr 1.688 Z 0.9506 0.1278 Calculo Pms' 4466.421 Pr 6.642 Tr 1.688 Z 0.9482 0.1284 …………………………….. Pms'' 4465.1870 Pr 6.6397 Tr 1.6876 Z 0.9481 0.1285 …………………………….. Pms''' 4465.1870 H@ P@ I@wh I@ms I@ms I@ms
Transcript
Page 1: Cullender-smithoriginal

2 10000 pies

Pwh 4000 psisg 0.6T promedio 70 530

F Ra b c

Pwh Pr Zwh01 4000.000 5.948 0.85582 4500.000 6.691 0.95063 4466.421 6.642 0.94824 4465.187 6.640 0.94815 4501.830 6.694 0.98986 4478.348 6.659 0.97977 4483.823 6.667 0.97958 4483.970 6.668 0.94959 4501.049 6.693 0.9507

10 4500.338 6.692 0.950611 4500.368 6.692 0.9506

Culler smithPrimero 0.11340Segundo Tms 145

605…………………… Pms 4500

Pr 6.691Tr 1.688Z 0.9506

0.1278Calculo Pms' 4466.421

Pr 6.642Tr 1.688Z 0.9482

0.1284……………………………..Pms'' 4465.1870

Pr 6.6397Tr 1.6876Z 0.9481

0.1285……………………………..Pms''' 4465.1870

H@

P@

I@wh

I@ms

I@ms

I@ms

Page 2: Cullender-smithoriginal

Spesific gravity 0.60

Temperature 21.11

Pressure 4.000E+03 Psia

Method used (1, 2 or 3) 3

Compressebility factor, z 0.8558

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897

TPc (SI units) 196.832

Pseudo critical pressure

PPc (oil field units) 674.37

PPc (SI units) 465.1E+4

Pseudo reduced properties

TPR 1.495

PPR 5.931434

Hall-Yarborought 0.669

a 0.036

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -204.2E-3

Derivated of f(y), df(y) 0.945

0.2259908565

Compressebility factor, z 0.9466

Iteration 2

f(y) -311.1E-4

Derivated of f(y), df(y) 1.156

oC

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 3: Cullender-smithoriginal

0.252907571

Compressebility factor, z 0.8459

Iteration 3

fy 435.4E-5

Derivated of f(y), df(y) 1.503

0.250

Compressebility factor, z 0.8557

Iteration 4

f(y) 651.7E-7

Derivated of f(y), df(y) 1.459

0.250

Compressebility factor, z 0.8558

Iteration 5f(y) 150.6E-10

Derivated of f(y), df(y) 1.458

0.250

Compressebility factor, z 0.8558

Spesific gravity 0.60

Temperature 104.44

Pressure 4.890E+03 Psia

Method used (1, 2 or 3) 3

Compressebility factor, z 0.9795

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897

TPc (SI units) 196.832

Pseudo critical pressure

PPc (oil field units) 674.37

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

oC

Page 4: Cullender-smithoriginal

PPc (SI units) 465.1E+4

Pseudo reduced properties

TPR 1.918

PPR 7.251703

Hall-Yarborought 0.52128

a 0.02435

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -202.9E-3

Derivated of f(y), df(y) 0.959

221.7E-3

Compressebility factor, z 0.9594

Iteration 2

f(y) 733.1E-5

Derivated of f(y), df(y) 1.654

217.3E-3

Compressebility factor, z 1.2037

Iteration 3

fy 150.8E-6

Derivated of f(y), df(y) 1.071

0.217

Compressebility factor, z 0.9796

Iteration 4

f(y) -723.3E-7

Derivated of f(y), df(y) 1.070

0.217

Compressebility factor, z 0.9793

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Page 5: Cullender-smithoriginal

Iteration 5f(y) 347.8E-7

Derivated of f(y), df(y) 1.071

0.217

Compressebility factor, z 0.9795

Newton Rapson: Reduced-density parameter y4

Page 6: Cullender-smithoriginal

T 220 F

T 70 FPsc 672.5 psiTsc 358.5 R

d diferencia P diferencia Z

Pws

5125.961 -51265000.764 125 -0.09485003.557 -3 0.00245003.659 0 0.00014956.696 47 -0.04174967.647 -11 0.01014967.940 0 0.00035002.098 -34 0.03005000.676 1 -0.00125000.736 0 0.00015000.733 0 0.0000

Culler smithcon 4000 pwh 1ºF

R T 680Pws 5023.3353608751Pr 7.470Tr 1.897Z 0.9898

0.1340Pws' 4893.828529112Pr 7.277Tr 1.897Z 0.9797

0.1361Pws'' 4890.3539Pr 7.2719Tr 1.8968Z 0.9795

0.1362Pms''' 4890.2582

I@ws

I@ms

I@ms

Page 7: Cullender-smithoriginal

Spesific gravity

294.26 K Temperature

Pressure

Method used (1, 2 or 3)

Compressebility factor, z

oR

K

psia

Pa

Page 8: Cullender-smithoriginal

Spesific gravity

377.59 K Temperature

Pressure

Method used (1, 2 or 3)

Compressebility factor, z

oR

K

psia

Page 9: Cullender-smithoriginal

Pa

Page 10: Cullender-smithoriginal
Page 11: Cullender-smithoriginal

680

530 Constante 0.01875Tr 1.478

g h

0123456789

1011

Page 12: Cullender-smithoriginal

0.60

62.78 335.93 K

4.500E+03 Psia

3

0.9506

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897 oR

TPc (SI units) 196.832 K

Pseudo critical pressure

PPc (oil field units) 674.37 psia

PPc (SI units) 465.1E+4 Pa

Pseudo reduced properties

TPR 1.707

PPR 6.672863

Hall-Yarborought 0.586

a 0.029

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -186.0E-3

Derivated of f(y), df(y) 0.959

204.0E-3

Compressebility factor, z 0.9595

Iteration 2

f(y) -271.9E-5

Derivated of f(y), df(y) 1.408

oC

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 13: Cullender-smithoriginal

205.9E-3

Compressebility factor, z 1.1687

Iteration 3

fy 229.2E-7

Derivated of f(y), df(y) 0.978

0.206

Compressebility factor, z 0.9506

Iteration 4

f(y) -106.2E-7

Derivated of f(y), df(y) 0.978

0.206

Compressebility factor, z 0.9506

Iteration 5f(y) 492.4E-8

Derivated of f(y), df(y) 0.978

0.206

Compressebility factor, 0.9506

0.60

21.11 294.26 K

4.484E+03 Psia

3

0.9495

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897 oR

TPc (SI units) 196.832 K

Pseudo critical pressure

PPc (oil field units) 674.37 psia

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

oC

Page 14: Cullender-smithoriginal

PPc (SI units) 465.1E+4 Pa

Pseudo reduced properties

TPR 1.495

PPR 6.649093

Hall-Yarborought 0.66890

a 0.03607

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -185.3E-3

Derivated of f(y), df(y) 0.959

203.3E-3

Compressebility factor, z 0.9595

Iteration 2

f(y) -304.3E-5

Derivated of f(y), df(y) 1.399

205.4E-3

Compressebility factor, z 1.1672

Iteration 3

fy 287.9E-7

Derivated of f(y), df(y) 0.975

0.205

Compressebility factor, z 0.9495

Iteration 4

f(y) -133.2E-7

Derivated of f(y), df(y) 0.975

0.205

Compressebility factor, z 0.9494

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Page 15: Cullender-smithoriginal

Iteration 5f(y) 616.4E-8

Derivated of f(y), df(y) 0.975

0.205

Compressebility factor, 0.9495

Newton Rapson: Reduced-density parameter y4

Page 16: Cullender-smithoriginal

10000

Pwh 4000sg 0.6T promedio 145

Fa b

Pwh Pr01 4500.000 6.6912 0.000 0.0003 #DIV/0! #DIV/0!4 #DIV/0! #DIV/0!5 #DIV/0! #DIV/0!6 #DIV/0! #DIV/0!7 #DIV/0! #DIV/0!8 #DIV/0! #DIV/0!9 #DIV/0! #DIV/0!

10 #DIV/0! #DIV/0!11 #DIV/0! #DIV/0!

10000

Pwh 4000sg 0.6T promedio 220

Fa b

Pwh Pr01 5023.335 7.4702 4893.829 7.2773 4890.354 7.2724 4483.970 6.6685 #DIV/0! #DIV/0!6 #DIV/0! #DIV/0!7 #DIV/0! #DIV/0!8 #DIV/0! #DIV/0!9 #DIV/0! #DIV/0!

10 #DIV/0! #DIV/0!11 #DIV/0! #DIV/0!

H@

P@

H@

P@

Page 17: Cullender-smithoriginal

Spesific gravity 0.60

Temperature 62.78 335.93

Pressure 4.466E+03 Psia

Method used (1, 2 or 3) 3

Compressebility factor, z 0.9482

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897 oR

TPc (SI units) 196.832 K

Pseudo critical pressure

PPc (oil field units) 674.37 psia

PPc (SI units) 465.1E+4 Pa

Pseudo reduced properties

TPR 1.707

PPR 6.623070

Hall-Yarborought 0.58594

a 0.02933

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -184.5E-3

Derivated of f(y), df(y) 0.959

202.5E-3

Compressebility factor, z 0.9595

Iteration 2

f(y) -339.1E-5

Derivated of f(y), df(y) 1.390

oC

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 18: Cullender-smithoriginal

204.9E-3

Compressebility factor, z 1.1657

Iteration 3

fy 358.6E-7

Derivated of f(y), df(y) 0.971

0.205

Compressebility factor, z 0.9483

Iteration 4

f(y) -165.5E-7

Derivated of f(y), df(y) 0.971

0.205

Compressebility factor, z 0.9482

Iteration 5f(y) 764.5E-8

Derivated of f(y), df(y) 0.971

0.205

Compressebility factor, z 0.9482

Spesific gravity 0.60

Temperature 21.11 294.26

Pressure 4.501E+03 Psia

Method used (1, 2 or 3) 3

Compressebility factor, z 0.9507

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units) 354.897 oR

TPc (SI units) 196.832 K

Pseudo critical pressure

PPc (oil field units) 674.37 psia

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

oC

Page 19: Cullender-smithoriginal

PPc (SI units) 465.1E+4 Pa

Pseudo reduced properties

TPR 1.495

PPR 6.674419

Hall-Yarborought 0.66890

a 0.03607

0.01

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y) -186.0E-3

Derivated of f(y), df(y) 0.959

204.1E-3

Compressebility factor, z 0.9595

Iteration 2

f(y) -269.8E-5

Derivated of f(y), df(y) 1.409

206.0E-3

Compressebility factor, z 1.1688

Iteration 3

fy 225.5E-7

Derivated of f(y), df(y) 0.979

0.206

Compressebility factor, z 0.9507

Iteration 4

f(y) -104.5E-7

Derivated of f(y), df(y) 0.979

0.206

Compressebility factor, z 0.9506

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Page 20: Cullender-smithoriginal

Iteration 5f(y) 484.7E-8

Derivated of f(y), df(y) 0.979

0.206

Compressebility factor, z 0.9507

Newton Rapson: Reduced-density parameter y4

Page 21: Cullender-smithoriginal

pies T 220

psi T 70Psc 672.5

605 Tsc 358.5R

c d diferencia P

Zwh Pws

#NAME? #NAME? #NAME?0.0000 #DIV/0! #NAME?0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!

pies T 220

psi T 70Psc 672.5

680 Tsc 358.5R

c d diferencia P

Zwh Pws

0.9898 4826.663 -48270.9797 4967.647 -1410.9795 4967.940 00.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!0.0000 #DIV/0! #DIV/0!

Page 22: Cullender-smithoriginal

Spesific gravity 0.60

K Temperature 62.78

Pressure 4.465E+03

Method used (1, 2 or 3) 3

Compressebility factor, z 0.9481

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units)

TPc (SI units)

Pseudo critical pressure

PPc (oil field units)

PPc (SI units)

Pseudo reduced properties

TPR

PPR

Hall-Yarborought

a

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 2

f(y)

Derivated of f(y), df(y)

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 23: Cullender-smithoriginal

Compressebility factor, z

Iteration 3

fy

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 4

f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 5f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Spesific gravity 0.60

K Temperature 21.11

Pressure 4.500E+03

Method used (1, 2 or 3) 3

Compressebility factor, z 0.9506

Method 3 (Standing's correlation)

Pseudo critical temperature

TPc (oil field units)

TPc (SI units)

Pseudo critical pressure

PPc (oil field units)

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

Page 24: Cullender-smithoriginal

PPc (SI units)

Pseudo reduced properties

TPR

PPR

Hall-Yarborought

a

Continue until f(y) < 1x10^(-5)

Iteration 1

f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 2

f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 3

fy

Derivated of f(y), df(y)

Compressebility factor, z

Iteration 4

f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Page 25: Cullender-smithoriginal

Iteration 5f(y)

Derivated of f(y), df(y)

Compressebility factor, z

Newton Rapson: Reduced-density parameter y4

Page 26: Cullender-smithoriginal

F 680

F 530psi Constante 0.01875R Tr 1.688

diferencia Z g h

01

#NAME? 20.0000 30.0000 40.0000 50.0000 60.0000 70.0000 80.0000 90.0000 100.0000 11

F 680

F 530psi Constante 0.01875R Tr 1.897

diferencia Z g h

01

0.0101 20.0003 30.9795 40.0000 50.0000 60.0000 70.0000 80.0000 90.0000 100.0000 11

Page 27: Cullender-smithoriginal

Spesific gravity 0.60

335.93 K Temperature 104.44

Psia Pressure 5.023E+03

Method used (1, 3

Compressebility 0.9898

Method 3 (Standing's correlation) Method 3 (Standing's correlation)

Pseudo critical temperature Pseudo critical temperature

354.897 oR TPc (oil field unit

196.832 K TPc (SI units)

Pseudo critical pressure

674.37 psia PPc (oil field unit

465.1E+4 Pa PPc (SI units)

Pseudo reduced properties

1.707 TPR

6.621240 PPR

Hall-Yarborough0.58594 t

0.02933 a

0.01

Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)

Iteration 1

-184.4E-3 f(y)

0.959 Derivated of f(y),

202.4E-3

0.9595 Compressebility f

Iteration 2

-341.5E-5 f(y)

1.389 Derivated of f(y),

oC

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 28: Cullender-smithoriginal

204.9E-3

1.1656 Compressebility f

Iteration 3

363.8E-7 fy

0.971 Derivated of f(y),

0.205

0.9482 Compressebility f

Iteration 4

-167.9E-7 f(y)

0.970 Derivated of f(y),

0.205

0.9481 Compressebility f

Iteration 5775.4E-8 f(y)

0.971 Derivated of f(y),

0.205

0.9481 Compressebility

Spesific gravity 0.60

294.26 K Temperature 21.11

Psia Pressure 4.500E+03

Method used (1, 3

Compressebility 0.9506

Method 3 (Standing's correlation) Method 3 (Standing's correlation)

Pseudo critical temperature Pseudo critical temperature

354.897 oR TPc (oil field unit

196.832 K TPc (SI units)

Pseudo critical pressure

674.37 psia PPc (oil field unit

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

oC

Page 29: Cullender-smithoriginal

465.1E+4 Pa PPc (SI units)

Pseudo reduced properties

1.495 TPR

6.673365 PPR

Hall-Yarborough0.66890 t

0.03607 a

0.01

Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)

Iteration 1

-186.0E-3 f(y)

0.959 Derivated of f(y),

204.0E-3

0.9595 Compressebility f

Iteration 2

-271.2E-5 f(y)

1.408 Derivated of f(y),

205.9E-3

1.1687 Compressebility f

Iteration 3

228.0E-7 fy

0.979 Derivated of f(y),

0.206

0.9506 Compressebility f

Iteration 4

-105.7E-7 f(y)

0.978 Derivated of f(y),

0.206

0.9506 Compressebility f

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Page 30: Cullender-smithoriginal

Iteration 5489.9E-8 f(y)

0.978 Derivated of f(y),

0.206

0.9506 Compressebility

Newton Rapson: Reduced-density parameter y4

Page 31: Cullender-smithoriginal
Page 32: Cullender-smithoriginal

Spesific gravity 0.60

377.59 K Temperature 104.44

Psia Pressure 4.894E+03 Psia

Method used (1, 3

Compressebility 0.9797

Method 3 (Standing's correlation) Method 3 (Standing's correlation)

Pseudo critical temperature Pseudo critical temperature

354.897 oR TPc (oil field unit 354.897

196.832 K TPc (SI units) 196.832

Pseudo critical pressure Pseudo critical pressure

674.37 psia PPc (oil field unit 674.37

465.1E+4 Pa PPc (SI units) 465.1E+4

Pseudo reduced properties Pseudo reduced properties

1.918 TPR 1.918

7.448895 PPR 7.256855

Hall-Yarborough Hall-Yarborough0.52128 t 0.52128

0.02435 a 0.02435

0.01 0.01

Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)

Iteration 1

-208.7E-3 f(y) -203.1E-3

0.959 Derivated of f(y), 0.959

227.8E-3 221.9E-3

0.9594 Compressebility f 0.9594

Iteration 2

118.2E-4 f(y) 744.1E-5

1.752 Derivated of f(y), 1.656

oC oC

Reduced-density parameter, y0

Newton Rapson: Reduced- density parameter, y1

Page 33: Cullender-smithoriginal

221.0E-3 217.4E-3

1.2156 Compressebility f 1.2040

Iteration 3

375.6E-6 fy 155.2E-6

1.106 Derivated of f(y), 1.072

0.221 0.217

0.9902 Compressebility f 0.9799

Iteration 4

-181.3E-6 f(y) -744.5E-7

1.103 Derivated of f(y), 1.071

0.221 0.217

0.9895 Compressebility f 0.9796

Iteration 5881.2E-7 f(y) 358.1E-7

1.104 Derivated of f(y), 1.072

0.221 0.217

0.9898 Compressebility 0.9797

294.26 K

Psia

Method 3 (Standing's correlation)

Pseudo critical temperature

354.897 oR

196.832 K

Pseudo critical pressure

674.37 psia

Newton Rapson: Reduced-density parameter y2

Newton Rapson: Reduced-desity parameter y3

Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4

oC

Page 34: Cullender-smithoriginal

465.1E+4 Pa

Pseudo reduced properties

1.495

6.673408

Hall-Yarborough0.66890

0.03607

0.01

Continue until f(y) < 1x10^(-5)

-186.0E-3

0.959

204.0E-3

0.9595

-271.2E-5

1.408

205.9E-3

1.1687

227.9E-7

0.979

0.206

0.9506

-105.6E-7

0.978

0.206

0.9506

Page 35: Cullender-smithoriginal

489.7E-8

0.978

0.206

0.9506

Page 36: Cullender-smithoriginal
Page 37: Cullender-smithoriginal

377.59 K

oR

K

psia

Pa

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